Download Third Grade - Delta RV Schools

Delta RV Third Grade Math
Revised-2009
Math: 3rd Grade
Strand: Numbers and Operations
GLE 1: Understand numbers, ways of representing numbers, relationships among numbers and number systems
MA 1: addition, subtraction, multiplication and division; other number sense, including numeration and estimation; and the application of these operations and concepts in the workplace and other situations
MA 5: mathematical systems (including read numbers, whole numbers, integers, fractions), geometry, and number theory (including primes, factors, multiples)
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
Assessment
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
compare whole
numbers up to 5 digits
(10,000)—read and
write numbers,
compare and order
numbers using <,>, and
=, ordinal position,
recognize value/place
value, standard
rounding to nearest ten,
hundred, and dollar,
write number words.
MA 5
1.10
Strategic Thinking
Read, write and compare
numbers
A
Students will compare whole
numbers using <, >, and = to
symbols.
Students will write 5-digit words
using the comma to represent the
word ‘thousand’ (example—two
thousand, five hundred twenty).
Teacher will assess
students’ ability to
compare whole
number using <, >,
and = symbols by
using worksheets 1.2,
1.3, and 1.4 in
MacMillan McGraw
Hill Math.
represent commonly
used fractions and
formulate equivalent
fractions for halves,
thirds and fourths—
shape to fraction and
fraction to shape,
recognize numerator
and denominator, and
find halves on rulers.
MA 5
1.10
Skill/Concept
Represent and use rational
numbers
B
1
Students will represent commonly
used fractions through
illustrations, words, and
applications.
Teachers will assess
students’ ability to
represent commonly
used fractions
through illustrations,
words, and
applications.
Students will do
workbook page
25.4—compare and
order fractions.
Math: 3rd Grade
Strand: Numbers and Operations
GLE 1: Understand meanings of operations and how they relate to one another
MA 1: addition, subtraction, multiplication and division; other number sense, including numeration and estimation; and the application of these operations and concepts in the workplace and other situations
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
Assessment
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
represent/model a
given situation
involving
multiplication and
related division using
manipulatives or
illustrations—sets,
arrays, areas, repeated
addition/subtractions,
sharing, and
partitioning.
MA 1
1.10
Skill/Concept
Represent operations
A
Students will represent a given
situation involving
multiplication—Investigations:
Things That Come in Groups—
The Commutative Property.
Teacher will assess
students’ ability to
represent a given
situation involving
multiplication.
Students will describe and apply
the effects of adding and
subtracting whole numbers as well
as the relationship between two
operations—Game Zone—Least
Sum Game—Robo Works—
Scrambled Egg Game.
Teacher will assess
students’ ability to
describe and apply
the effects of adding
and subtracting whole
number—Base
Blocks Addition and
Subtraction, Relating
Addition and
Subtraction, and
Subtraction
Worksheet.
describe and apply the
effects of adding and
subtracting whole
numbers as well as the
relationship between
the two operations—
fact families +, -.
MA 1
1.10
Skill/Concept
Describe effects of operations
B
2
Math: 3rd Grade
Strand: Numbers and Operations
GLE 3: Compute fluently and make reasonable estimates
MA 1: addition, subtraction, multiplication and division; other number sense, including numeration and estimation; and the application of these operations and concepts in the workplace and other situations
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
Assessment
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
represent a mental
strategy used to
compute addition,
subtraction, or
multiplication--+ up to
3-digit, x up to 9x9,
mental strategies:
guess and check, look
for a pattern, use
logical reasoning, solve
a simpler problem,
work backward.
MA 1
3.2
Skill/Concept
Describe or represent mental
strategies
A
Students will represent a mental
strategy used to compute addition,
subtraction, or multiplication—
Identifying Extra Information in
Word Problems and Number
Sense “Should Know” (page 85
paper copy).
Teachers will assess
students’ ability to
represent a mental
strategy—
Investigations:
Combining and
Comparing, Finding
Solutions by Working
Backward, Number
Sense “Should Do”
(page 89 paper copy)
and Making Sense of
the Answer
Students will develop fluency with
basic number relationships.
Students will pair and use a deck
of cards to play multiplication/
division war.
Teacher will assess
students’ fluency
development through
students writing of
the basic fact
problems including
the answers and with
basic fact timed tests.
use strategies to
develop fluency with
basic number
relationships (9x9) if
division and
multiplication—
demonstrate addition
and subtraction for
sums up to 20, develop
multiplication and
division basic facts.
MA 1
1.6
Recall
Develop and demonstrate fluency
B
Daily timed tests
3
Math: 3rd Grade
Strand: Number and Operations
GLE 3: Compute fluently and make reasonable estimates
MA 1: addition, subtraction, multiplication and division; other number sense, including numeration and estimation; and the application of these operations and concepts in the workplace and other situations
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
Assessment
GLE
Objective
Standards
Skills
Activities/Resources
apply and describe the
strategy used to
compute up to a 1-digit
by 1-digit
multiplication
problem—with and
without regrouping.
MA 1
3.2
Skill/Concept
Students will:
apply and describe the
strategy used go
compute up to a 3-digit
addition or subtraction
problem—with and
without regrouping and
column addition.
MA 1
3.2
Skill/Concept
Compute Problems
C
4
Students will apply and describe
the strategy used to compute up to
a 3-digit addition or subtraction
problem. Students will pair and
work on internet game
www.mmnmath.com.
Teacher will assess
students’ ability to
apply and describe
the strategy used to
compute up to a 3digit problem.
Students will
complete spiral
review on page 122
of text.
Students will apply and describe
the strategy used to compute up to
a 3-digit addition and subtraction
problem. The students will play
Math Jeopardy.
Teacher will assess
students’ ability to
apply and describe
the strategy used to
compute up to a 3digit problem.
Students will practice
on
www.multiplication.
com.
Math: 3rd Grade
Strand: Number and Operations
GLE 3: Compute fluently and make reasonable estimates--continued
MA 1: addition, subtraction, multiplication and division; other number sense, including numeration and estimation; and the application of these operations and concepts in the workplace and other situations
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
Assessment
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
estimate and justify
sums and differences of
whole numbers—round
to nearest ten, hundred,
dollar amount.
MA 1
3.2
Strategic Thinking
Estimate and justify solutions
D
5
Students will round, estimate, and
justify the results of addition and
subtraction of whole numbers—
Estimation, Jellybean Jostle,
Rounding and Estimation.
Teachers will assess
students’ ability to
round, estimate, and
justify the results of
addition and
subtraction of whole
numbers—compare,
order and round
numbers—Lessons
2.1. 2.2, 2.3, 2.4, and
2.5.
Math: 3rd Grade
Strand: Algebraic Relationships
GLE 1: Understand patterns, relations, and functions
MA 4: Patterns and relationships within and among functions and algebraic, geometric and trigonometric concepts
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
extend geometric
(shapes) and numeric
patterns to find the next
term.
MA 4
1.6
Skill/Concept
Recognize and extend patterns
A
Assessment
Students will extend
understanding of geometric
(shapes) and numeric patterns to
the next term—Exploring
Geometry.
Teacher will assess
students’ ability to
extend their
understanding of
geometric shapes and
numeric patterns
through teacher
observation.
Students will solve patterns using
words, tables or graphs. Students
will do experiment—“How does
exercise change your breathing?”
Teachers will assess
students’ ability to
solve patterns by
using worksheets 8.3,
8.4, and 8.5.
solve patterns using
words, tables, or
graphs—tally
table/graph;
pictograph, bargraph,
and line graph; and 2
circle Venn diagram
MA 4
1.6
Skill/Concept
Create and analyze patterns
B
6
Math: 3rd Grade
Strand: Algebraic Relationships
GLE 2: Represent and analyze mathematical situations and structures using algebraic symbols
MA 4: Patterns and relationships within and among functions and algebraic, geometric and trigonometric concepts
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
using all operations,
represent a
mathematical situation
as an EXPRESSION or
number sentence.
MA 4
1.10
Skill/Concept
Represent mathematical situations
A
Assessment
Students will represent
mathematical situations as an
expression or number sentence—
Problem solving—
www.gamezon.com.
Teacher will assess
students’ ability to
represent a
mathematical
situation as an
expression or number
sentence—worksheet
4.3.
Students will apply the
commutative property to addition
of whole numbers—
www.gamezon.com.
Teacher will assess
students’ ability to
apply the
commutative property
to addition of whole
numbers—problem
solving time: reading
for math.
apply the
COMMUTATIVE,
DISTRIBUTIVE,
AND ASSOCIATIVE
properties for basic
facts of whole
numbers.
MA 4
3.2
Skill/Concept
Describe and use mathematical
manipulations
B
7
Math: 3rd Grade
Strand: Algebraic Relationships
GLE 3: Use mathematical models to represent and understand quantitative relationships
MA 4: Patterns and relationships within and among functions and algebraic, geometric and trigonometric concepts
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
MODEL problem
situations, including
multiplication with
objects or drawings.
MA 4
Students will model problem
situations, including
multiplication with objects and
drawings—Algebra: explore
using arrays.
1.6
Skill/Concept
Use mathematical models
A
8
Assessment
Teacher will assess
students’ ability to model
problem situations,
including multiplication
with objects and
drawings—using
worksheet 9.2—
www.multiplication.com.
Math: 3rd Grade
Strand: Algebraic Relationships
GLE 4: Analyze change in various contexts
MA 4: Patterns and relationships within and among functions and algebraic, geometric and trigonometric concepts
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
describe
QUANTITATIVE
change, such as
students growing two
inches in a year.
MA 4
Students will describe quantitative
change.
1.6
Skill/Concept
Analyze change
A
9
Assessment
Teacher will assess
students’ ability to
describe quantitative
change.
Math: 3rd Grade
Strand: Geometric and Spatial Relationships
GLE 1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
MA 2: Geometric and spatial sense involving measurement (including length, area, volume), trigonometry, and similarity and transformations of shapes
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
Assessment
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
compare and analyze 2and 3-dimensional
shapes by describing
their ATTRIBUTES
(circle, triangle,
rhombus, trapezoid,
triangle, rectangular
prism, cylinder,
pyramid, and sphere).
MA 2
1.10
Students will compare 2- and 3dimensional shapes by describing
their attributes—problem solving:
time—reading for math.
Teacher will assess
students’ ability to
compare 2- and 3dimensional shapes in
a written paragraph
comparing the
attributes of shapes—
Lesson 23.2
worksheet.
Students will predict the results of
putting together or taking apart 2and 3-dimensional shapes—www.
gamezone.com
Teacher will assess
students’ ability to
predict the results of
putting together or
taking apart shapes
through teacher
observation.
Skill/Concept
Describe and use geometric
relationships
A
predict the results of
putting together or
taking apart 2- and 3dimensional shapes.
MA 2
1.6
Strategic Thinking
Compare and decompose shapes
C
10
Students will make 2and 3-dimensional
objects out of shapes
to show
understanding.
Math: 3rd Grade
Strand: Geometric and Spatial Relationships
GLE 2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems
MA 2: Geometric and spatial sense involving measurement (including length, area, volume), trigonometry, and similarity and transformations of shapes
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
Assessment
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
describe location using
common language and
geometric vocabulary
(forward, back, left,
right, north, south, east,
west)—ordered
pairs/coordinate
systems.
Students will describe location
using common language and
geometric vocabulary—play
www.gamezone.com.
MA 2
1.10
Skill/Concept
Use coordinate systems
A
11
Teacher will assess
students’ ability to
describe location
using common
language and
geometric vocabulary
by observation of
gamezone.
Math: 3rd Grade
Strand: Geometric and Spatial Relationships
GLE 3: Apply transformations and use symmetry to analyze mathematical situations
MA 2: Geometric and spatial sense involving measurement (including length, area, volume), trigonometry, and similarity and transformations of shapes
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
Assessment
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
determine if two
objects are
CONGRUENT through
a slide, flip, or turn.
MA 2
3.2
Skill/Concept
Use transformations on objects
A
Students will determine if two
objects are congruent through a
slide, flip, or turn. Students will
trace triangles on wax paper—then
explore slides, flips, and turns.
Teacher will assess
students’ ability to
determine if two
objects are congruent.
Using dotted paper,
students will need to
trace a square, then
flip it, turn it, and
slide it.
Students will identify lines of
symmetry in polygons. Students
will use tracing paper to determine
lines of symmetry in polygons.
Teachers will assess
students’ ability to
identify lines of
symmetry in
polygons. Students
will show that there is
a pattern to the lines
of symmetry in a
square.
C
identify lines of
symmetry in polygons.
MA 2
Recall
Use symmetry
1.10
12
Math: 3rd Grade
Strand: Geometric and Spatial Relationships
GLE 4: Use visualization, spatial reasoning, and geometric modeling to solve problems
MA 2: Geometric and spatial sense involving measurement (including length, area, volume), trigonometry, and similarity and transformations of shapes
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
Assessment
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
recognize the faces of
geometric shapes and
identify geometric
shapes and identify
geometric shapes in the
real world.
MA 2
Students will recognize the faces
of geometric shapes and identify
geometric shapes in the real world.
Students will pair with others to
find all the geometric shapes in the
classroom.
3.3
Recall
Recognize and draw three-dimensional representations
A
13
Teachers will assess
students’ ability to
recognize the faces of
geometric shapes and
identify geometric
shapes in the real
world. Students will
make a foldable with
each geometric
shape—then draw a
real world figure to
match.
Math: 3rd Grade
Strand: Measurement
GLE 1: Understand measurable attributes of objects and the units, systems and processes of measurement
MA 1: addition, subtraction, multiplication and division; other number sense, including numeration and estimation; and the application of these operations and concepts in the workplace and other situations
MA 2: geometric and spatial sense involving measurement (including length, area, volume), trigonometry, and similarity and transformations of shapes
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
Assessment
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
identify, justify and use
the appropriate unit of
measure (linear, time,
weight).
MA 2
3.1
Students will identify, justify, and
use the appropriate unit of
measure.
Teachers will assess
students’ ability to
identify, justify, and
use the appropriate
unit of measure.
Students will tell time to the
nearest five minutes. Students will
make foldables to enforce time by
hour, half hours, minutes, and
elapsed time.
Teacher will assess
students’ ability to
tell time to the nearest
five minutes by
giving students real
world problems to
indicate telling time
to the nearest five
minutes.
Extended Thinking
Determine unit measurement
A
tell time to the nearest
five minutes—by the
hour; half hour; quarter
hour; in minutes;
elapsed time; a.m. and
p.m.; calendar days of
the week; calendar
months of the year.
MA 2
1.10
W
Recall
Tells and use units of time
C
14
Math: 3rd Grade
Strand: Measurement
GLE 1:Understand measurable attributes of objects and the units, systems and processes of measurement--continued
MA 1: addition, subtraction, multiplication and division; other number sense, including numeration and estimation; and the application of these operations and concepts in the workplace and other situations
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
Assessment
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
add and subtract money
values and determine
change—count money
to $1.00, make change
from $l.00 to $5.00,
add and subtract money
values up to $5.00, and
estimate money
problems involving
addition and
subtraction.
Students will add and subtract
money values and make change.
Students will pair with groups and
play Piggy Bank.
MA 1
1.10
Skill/Concept
Cou;nt and compute money
D
W
15
Teacher will assess
students’ ability to
add and subtract
money values.
Students will be
assessed by a
classroom store.
Math: 3rd Grade
Strand: Measurement
GLE 2: Apply appropriate techniques, tools, and formulas to determine measurements
MA 2: geometric and spatial sense involving measurement (including length, area, volume), trigonometry, and similarity and transformations of shapes
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
Assessment
GLE
Objective
Standards
Skills
Activities/Resources
Students will:
use REFERENT for
measures to make
comparisons and
estimates—measure and
estimate temperature to
nearest degree, measure
and estimate weight to
nearest pound, measure
and estimate length to
nearest inch and
centimeter, compare by
temperature, weight, and
length
MA 2
determine the
perimeter of polygons.
MA 2
1.6
Skill/Concept
Use standard or non-standard
measurement
A
Students will use referent for
measure to make comparisons and
estimates—Inch Worm,
Temperature, Weight and
Capacity, Measurement Man, and
The World of Measurement.
Teacher will assess
students’ ability to
use a referent for
measures—How
long? How wide?
How tall? How
deep?
Students will determine the
perimeter of a polygon using a
constructed response template for
AREA AND PERIMETER.
Students will work on
www.mmmath.com.
Teachers will assess
students’ ability to
determine perimeter
through performance.
Students will be
given actual polygons
to determine the
perimeter.
1.10
Skill/Concept
Apply geometric measurements
C
W
16
Math: 3rd Grade
Strand: Data and Probability
GLE 1: Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them
MA 3: data analysis, probability and statistics
Concepts
Measurable Learner
Process
Integrated
DOK
Instructional Strategies/Student
Assessment
Objective
Standards
Skills
Activities/Resources
Students will:
design investigations to
address a given
question.
MA 3
Strategic Thinking
Formulate questions
A
1.2
Students will design investigations
to address a given question.
Teacher will assess
students’ ability to
design investigations
to address a given
question—Ice Cream
Cones.
Students will classify objects by
attributes and organize the data.
Teacher will assess
students’ ability to
classify objects by
attributes and
organize the data—
Exploring Solids.
Students will read and interpret
information from line plots and
graphs—favorite NFL team line
plots and graphs.
Teachers will assess
students’ ability to
read and interpret
information from line
plots and graphs—
graph and analyze
data from NFL
graphs.
classify objects by
attributes and organize
data.
MA 3
read and interpret
information from the
LINE PLOTS and
graphs (BAR, LINE,
PICTORAL)—create
simple graphs and label
all parts of the graph.
MA 3
Skill/Concept
Classify and
organize data
B
1.8
Skill/Concept
Represent and
interpret data
C
1.10
17
Math: 3rd Grade
Strand: Data and Probability
GLE 2: Select and use appropriate statistical methods to analyze data
MA 3: data analysis, probability and statistics
Measurable Learner
Process
Integrated
GLE
Objective
Standards
Skills
Students will:
describe the SHAPE
OF DATA and analyze
it for patterns.
MA 3
1.6
Extended Thinking
Describe and analyze data
A
DOK
18
Instructional Strategies/Student
Activities/Resources
Assessment
Students will describe the shape of
data and analyze it for pattern—
Combinations.
Teacher will assess
students’ ability to
describe the shape of
data and analyze it for
patterns—
Combinations.
Math: 3rd Grade
Strand: Data and Probability
GLE 3: Develop and evaluate inferences and predictions that are based on data
MA 3: data analysis, probability and statistics
Measurable Learner
Process
Integrated
DOK
GLE
Objective
Standards
Skills
Students will:
discuss events related
to students’
experiences as likely or
unlikely.
MA 3
Students will discuss events
related to their experiences as
likely or unlikely—Probability
Lesson Plan and Drawing M and
M’s from a Jar.
3.5
Recall
Develop and evaluate inferences
A
Instructional Strategies/Student
Activities/Resources
19
Assessment
Teachers will assess
students’ ability to
discuss events related
to their experiences
as likely or
unlikely—Making
Decisions with
Probability with M
and M’s.